A sharp interface model for the morphological evolution of precipitates in Al cast alloys§

2007 ◽  
Vol 87 (11) ◽  
pp. 863-869 ◽  
Author(s):  
H. Emmerich ◽  
R. Siquieri ◽  
M. Jurgk ◽  
J. Rezende ◽  
J. Hubert
Keyword(s):  
Morphological Evolution ◽  
Sharp Interface ◽  
Interface Model ◽  
Sharp Interface Model ◽  
Cast Alloys ◽  
Evolution Of Precipitates

A sharp-interface model for diffusional evolution of precipitates in visco-plastic materials

2022 ◽  
Vol 391 ◽  
pp. 114440
Author(s):  
Lukas Munk ◽  
Silvia Reschka ◽  
Stefan Löhnert ◽  
Hans Jürgen Maier ◽  
Peter Wriggers
Keyword(s):  
Sharp Interface ◽  
Interface Model ◽  
Sharp Interface Model ◽  
Plastic Materials ◽  
Evolution Of Precipitates

scholarly journals A ternary Cahn–Hilliard–Navier–Stokes model for two-phase flow with precipitation and dissolution

2020 ◽  
pp. 1-35
Author(s):  
Christian Rohde ◽  
Lars von Wolff
Keyword(s):  
Phase Field ◽  
Stokes Equations ◽  
Solid Phase ◽  
Immiscible Fluids ◽  
Sharp Interface ◽  
Ion Concentration ◽  
Navier Stokes ◽  
Interface Model ◽  
Sharp Interface Model ◽  
Two Phase

We consider the incompressible flow of two immiscible fluids in the presence of a solid phase that undergoes changes in time due to precipitation and dissolution effects. Based on a seminal sharp interface model a phase-field approach is suggested that couples the Navier–Stokes equations and the solid’s ion concentration transport equation with the Cahn–Hilliard evolution for the phase fields. The model is shown to preserve the fundamental conservation constraints and to obey the second law of thermodynamics for a novel free energy formulation. An extended analysis for vanishing interfacial width reveals that in this limit the sharp interface model is recovered, including all relevant transmission conditions. Notably, the new phase-field model is able to realize Navier-slip conditions for solid–fluid interfaces in the limit.

Non-axisymmetric growth of dendrite with arbitrary symmetry in two and three dimensions: sharp interface model vs phase-field model

2020 ◽  
Vol 229 (19-20) ◽  
pp. 2899-2909
Author(s):  
L. V. Toropova ◽  
P. K. Galenko ◽  
D. V. Alexandrov ◽  
M. Rettenmayr ◽  
A. Kao ◽  
...  
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Sharp Interface ◽  
Three Dimensions ◽  
Interface Model ◽  
Sharp Interface Model
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